The HD131Xe has a full CMS, but it doesn’t have enough range to correct some of the colors that are far off their target in the color gamut. Red plots the best, and looks decent, by default (see CIE chart). Blue is not bad, but green is way off. Cyan and magenta are not bad, but yellow has too much red in it. With normal viewing, it doesn’t look bad, just a little too red.
Using the CMS, all three secondaries can be improved, but the primaries don’t change much and green in particular really cannot be improved. Also, when the CMS calibration is done as it should be, skin tones (which are too red to begin with) came out too yellow. A compromise was reached by adding a little more gain than called for to the red primary, thus improving skin tones. They’re still not great, but this is a low cost 1080P projector we’re talking about.